Q. 44.1( 13 Votes )

Find the number o

Answer :

Given, diameter of sphere = 6 cm

We know that radius is half of the diameter.


Radius of sphere, r1 = 3 cm


Given, height of solid metal cylinder, h = 45 cm


Diameter = 4 cm


Radius of cylinder, r2 = 2 cm


Let a cylinder be melted to form n number of spheres.


So, Volume of cylinder = Volume of n spheres


We know that volume of cylinder = πr2h


And volume of sphere = (4πr3)/3


π (4)(45) = (n ×(4π(3)3)/3


180π = n36π


n = 180/36


n = 5


Ans. 5 spheres can be made by melting the cylinder.


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